NIFT UG 2020 Question Paper with solutions

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Question : 17 of 150

Marks: +1, -0

Two places

P

and

Q

are

162 {km}

apart. A train leaves

P

for

Q

and simultaneously another train leaves

Q

for

P

. They meet at the end of

6 {h}

. If the former train travels

8 {km}{/} {h}

faster than the other, then speed of train from

Q

is

$8 \;{1}/{2} {km}{/} {h}$
$9 \;{1}/{2} {km} {/} {h}$
$12 \;{5}/{6} {km} {/} {h}$
$10 \;{5}/{6} {km} {/} {h}$

Solution:

Let the speed of slower train be

S {km}{/}{h}

.

∴

Speed of faster train

=(S+8) {km}{/}{h}

According to the question,

\;{162}/{S+S+8}=6

⇒ \;\; 162=12 S+48

⇒ \;\; 12 S=114

⇒ \;\; S=\;{114}/{12}=9 \;{1}/{2} {km} {/} {h}

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